This article is cited in 2 papers

Convergence of Newton's method for equations of complex heat transfer

G. V. Grenkin<sup>ab

a</sup> Institute for Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences, Vladivostok
^b Far Eastern Federal University, Vladivostok

Abstract: Global monotonic convergence of Newton's method is proved for solving equations of complex heat transfer within the $P_1$ approximation of the radiative transfer equation.

Key words: radiative heat transfer, diffusion approximation, Newton's method, monotonic convergence.

UDC: 519.632.4

MSC: Primary 65N12; Secondary 35J25

Received: 13.03.2017

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